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1012232131300 = 225213778640101
BaseRepresentation
bin11101011101011011011…
…11001001001011100100
310120202202012100002010001
432232231233021023210
5113041022411200200
62053002451311044
7133063025103265
oct16565557111344
93522665302101
101012232131300
11360315716215
121442165ab484
13745b7557760
1436dc6c0c96c
151b4e558b76a
hexebadbc92e4

1012232131300 has 36 divisors (see below), whose sum is σ = 2365508629876. Its totient is φ = 373747248000.

The previous prime is 1012232131243. The next prime is 1012232131409. The reversal of 1012232131300 is 31312322101.

It can be written as a sum of positive squares in 6 ways, for example, as 266140428544 + 746091702756 = 515888^2 + 863766^2 .

It is a super-2 number, since 2×10122321313002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 389318751 + ... + 389321350.

Almost surely, 21012232131300 is an apocalyptic number.

1012232131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012232131300 is an abundant number, since it is smaller than the sum of its proper divisors (1353276498576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1012232131300 is a wasteful number, since it uses less digits than its factorization.

1012232131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778640128 (or 778640121 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1012232131300 its reverse (31312322101), we get a palindrome (1043544453401).

The spelling of 1012232131300 in words is "one trillion, twelve billion, two hundred thirty-two million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 778640101 1557280202 3114560404 3893200505 7786401010 10122321313 15572802020 19466002525 20244642626 38932005050 40489285252 50611606565 77864010100 101223213130 202446426260 253058032825 506116065650 1012232131300